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213741060 = 2235132107197
BaseRepresentation
bin11001011110101…
…10111000000100
3112220012011121120
430233112320010
5414204203220
633113113540
75203524531
oct1457267004
9486164546
10213741060
11aa718905
125b6b88b0
1335388900
142055bd88
1513b70a40
hexcbd6e04

213741060 has 144 divisors (see below), whose sum is σ = 657429696. Its totient is φ = 51856896.

The previous prime is 213741053. The next prime is 213741067. The reversal of 213741060 is 60147312.

213741060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213741053) and next prime (213741067).

It is a self number, because there is not a number n which added to its sum of digits gives 213741060.

It is not an unprimeable number, because it can be changed into a prime (213741067) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1084882 + ... + 1085078.

It is an arithmetic number, because the mean of its divisors is an integer number (4565484).

Almost surely, 2213741060 is an apocalyptic number.

213741060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213741060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328714848).

213741060 is an abundant number, since it is smaller than the sum of its proper divisors (443688636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213741060 is a wasteful number, since it uses less digits than its factorization.

213741060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 213741060 is about 14619.8857724676. The cubic root of 213741060 is about 597.9010548329.

Adding to 213741060 its reverse (60147312), we get a palindrome (273888372).

The spelling of 213741060 in words is "two hundred thirteen million, seven hundred forty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 169 195 197 214 260 321 338 390 394 428 507 535 591 642 676 780 788 845 985 1014 1070 1182 1284 1391 1605 1690 1970 2028 2140 2364 2535 2561 2782 2955 3210 3380 3940 4173 5070 5122 5564 5910 6420 6955 7683 8346 10140 10244 11820 12805 13910 15366 16692 18083 20865 21079 25610 27820 30732 33293 36166 38415 41730 42158 51220 54249 63237 66586 72332 76830 83460 84316 90415 99879 105395 108498 126474 133172 153660 166465 180830 199758 210790 216996 252948 271245 274027 316185 332930 361660 399516 421580 499395 542490 548054 632370 665860 822081 998790 1084980 1096108 1264740 1370135 1644162 1997580 2740270 3288324 3562351 4110405 5480540 7124702 8220810 10687053 14249404 16441620 17811755 21374106 35623510 42748212 53435265 71247020 106870530 213741060